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Finding the Fourth Proportional to 9,062.38, 13,593.64 and 2,822.14

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Solution

The fourth proportional to 9,062.38, 13,593.64 and 2,822.14 is: 4,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.38 : 13,593.64 = 2,822.14 : x
  2. Step 2: Convert to fraction form
    9,062.38/13,593.64 = 2,822.14/x
  3. Step 3: Cross multiply
    9,062.38x = 13,593.64 × 2,822.14
  4. Step 4: Simplify right side
    9,062.38x = 38,363,155.19
  5. Step 5: Solve for x
    x = 38,363,155.19/9,062.38
  6. Step 6: Final answer
    x = 4,233.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.